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Finding the Fourth Proportional to 2,843.29, 4,265.54 and 2,150.24

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Solution

The fourth proportional to 2,843.29, 4,265.54 and 2,150.24 is: 3,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.29 : 4,265.54 = 2,150.24 : x
  2. Step 2: Convert to fraction form
    2,843.29/4,265.54 = 2,150.24/x
  3. Step 3: Cross multiply
    2,843.29x = 4,265.54 × 2,150.24
  4. Step 4: Simplify right side
    2,843.29x = 9,171,922.81
  5. Step 5: Solve for x
    x = 9,171,922.81/2,843.29
  6. Step 6: Final answer
    x = 3,225.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.